Step |
Hyp |
Ref |
Expression |
1 |
|
cdleme4.l |
|
2 |
|
cdleme4.j |
|
3 |
|
cdleme4.m |
|
4 |
|
cdleme4.a |
|
5 |
|
cdleme4.h |
|
6 |
|
cdleme4.u |
|
7 |
|
cdleme4.f |
|
8 |
|
cdleme4.g |
|
9 |
|
cdleme7.v |
|
10 |
6 9
|
oveq12i |
|
11 |
|
simp11 |
|
12 |
|
simp12l |
|
13 |
|
simp13 |
|
14 |
|
simp2l |
|
15 |
|
simp32 |
|
16 |
1 2 3 4 5 6
|
cdleme4 |
|
17 |
11 12 13 14 15 16
|
syl131anc |
|
18 |
17
|
oveq1d |
|
19 |
|
simp11l |
|
20 |
|
simp12 |
|
21 |
|
simp31 |
|
22 |
1 2 3 4 5 6
|
lhpat2 |
|
23 |
11 20 13 21 22
|
syl112anc |
|
24 |
|
simp2rl |
|
25 |
|
simp2ll |
|
26 |
19
|
hllatd |
|
27 |
|
eqid |
|
28 |
27 2 4
|
hlatjcl |
|
29 |
19 12 13 28
|
syl3anc |
|
30 |
|
simp11r |
|
31 |
27 5
|
lhpbase |
|
32 |
30 31
|
syl |
|
33 |
27 1 3
|
latmle2 |
|
34 |
26 29 32 33
|
syl3anc |
|
35 |
6 34
|
eqbrtrid |
|
36 |
|
simp2rr |
|
37 |
|
nbrne2 |
|
38 |
35 36 37
|
syl2anc |
|
39 |
1 2 3 4 5 6 7 8
|
cdleme7aa |
|
40 |
1 2 3 4
|
2llnma2 |
|
41 |
19 23 24 25 38 39 40
|
syl132anc |
|
42 |
18 41
|
eqtrd |
|
43 |
42
|
oveq1d |
|
44 |
|
hlol |
|
45 |
19 44
|
syl |
|
46 |
27 2 4
|
hlatjcl |
|
47 |
19 25 24 46
|
syl3anc |
|
48 |
27 3
|
latmmdir |
|
49 |
45 29 47 32 48
|
syl13anc |
|
50 |
|
eqid |
|
51 |
1 3 50 4 5
|
lhpmat |
|
52 |
11 14 51
|
syl2anc |
|
53 |
43 49 52
|
3eqtr3d |
|
54 |
10 53
|
syl5eq |
|
55 |
|
hlatl |
|
56 |
19 55
|
syl |
|
57 |
|
simp33 |
|
58 |
1 2 3 4 5 6 7 8 9
|
cdleme7b |
|
59 |
11 14 24 57 15 58
|
syl113anc |
|
60 |
3 50 4
|
atnem0 |
|
61 |
56 23 59 60
|
syl3anc |
|
62 |
54 61
|
mpbird |
|